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Finding the Fourth Proportional to 205,916.31, 308,842.74 and 56,168.78

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Solution

The fourth proportional to 205,916.31, 308,842.74 and 56,168.78 is: 84,244.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,916.31 : 308,842.74 = 56,168.78 : x
  2. Step 2: Convert to fraction form
    205,916.31/308,842.74 = 56,168.78/x
  3. Step 3: Cross multiply
    205,916.31x = 308,842.74 × 56,168.78
  4. Step 4: Simplify right side
    205,916.31x = 17,347,318,373.44
  5. Step 5: Solve for x
    x = 17,347,318,373.44/205,916.31
  6. Step 6: Final answer
    x = 84,244.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.